Question
$$x-3 = 7x$$
Answer
$$ x = -\dfrac{1}{2} $$
Explanation
$$ \begin{aligned} x-3 &= 7x&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]x-7x &= 3&& \text{simplify left side} \\[1 em]-6x &= 3&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= -\frac{3}{6}&& \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$
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